6.ee.6 Review Williams

Translating Between Words and Expressions

100

Write the algebraic expression for the following verbal expression: The sum of three and w

3 + w

200

Write the algebraic expression for the following verbal expression in TWO forms. 

The product of 5 and a number x

5x, 5(x), 5*x

300

Write TWO verbal expressions for the following algebraic expression: g - 3

Answers vary. Examples are

3 less than g

g minus 3

3 fewer than g

400

Write as a algebraic expression: "a number plus five, multiplied by 3"

3(x + 5)

500

Write the algebraic equation for the following verbal equation: Two more than the quotient of a number m and five is equal to 26

What is m/5 + 2 = 26

Evaluating Expressions

100

If a = 7, evaluate the following: 2a

14

200

If r = 6 and s = 4, evaluate the following: 2r + s

16

300

If a = 3 and b = 5, evaluate the following: 

3a - b

4

400

If y = 4, and z = 10, evaluate the following: z(3 + y)

70

500

If a = 2, b= 4 and c = 3, evaluate the following: 

a(b + c)^2 - a

96

Writing Expressions and Equations

100

Sam has 3 more toys than his brother Tyler. If Tyler has x amount of toys, write an expression for how many toys Sam has.

x + 3

200

There are twice as many girls as boys in the class. If there are b amount of boys, write an expression for how many girls there are.

2b

300

There are s amount of students in a classroom. The teacher wants to split them into groups of 4. Write an expression to represent how many groups she will make.

s/4 (s divided by 4)

400

You go to a Bulls game with your family. The tickets cost $45 each. While you were there, your parents bought you a T-Shirt for $20. How much money did they spend all together if m number of family members went to the game?

45m + 20

500

You charge $15 for your babysitting service, plus $10 for each hour that you babysit. Write an algebraic expression for this to describe the total amount of money you earn.

How much money would you earn if you worked 3 hours?

15 + 10h, $45

Solving Equations

100

Solve:  3x = 21

x = 7

200

Algebraically solve, and show your work. g + 7 = 12

g = 5

300

Solve:  h - 33 = 25

h = 58

400

4y + 6 = 10

y = -1

500

Solve:  3x + 2 = 26

x = 8

Random

100

A zoo needs to hire b staff members for each exhibit. Write the expression for the number of staff members they need to hire for 20 exhibits

20b

200

What is the purpose of solving an equation?

How do we do it?

to isolate the variable

"Undo" the operations associated with the variable by doing the inverse operation (opposite operation)

300

Oliver went to the zoo with 5 other friends. They have a coupon for $10 off of admission. The admission for each person is $ 𝑑. Write the expression for the amount each of them needs to pay after the discount.

6d-10

400

The zoo is open for 9 hours on weekdays. On weekends, the zoo is open for 𝑟 more hours. Write the expression for the number of hours the zoo opens on weekends.

9+r

500

Give a summary of how Ms. P used Taylor Swift to explain how to solve equations.

Eliminate the weak friends first (adding and subtracting) by doing the inverse operation.

Then get rid of the BEST FRIENDS (multiplying and dividing) by doing the inverse operation.

Finally, you have x all by itself- muah hahahahah